Elliptic curve data - 248430.cu2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '248430cu', 'Clabel': '248430cu1', 'Cnumber': 1, 'abc_quality': 0.8907896678438774, 'absD': 19932210746639100, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [1, 0, 1, 32951, 6393272], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 248430, 'degree': 2903040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8098123263144988170891293289', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2], 'jinv': [6967871, 35100], 'lmfdb_iso': '248430.cu', 'lmfdb_label': '248430.cu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 4, -7], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '78.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60884879713526382151985011491', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 24843], [3, 4, 82810], [5, 6, 49686], [7, 26, 5070], [13, 98, 1470]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44561742694392620349029076360', 'prec': 107}, 'szpiro_ratio': 3.611374212143638, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, 1, 1, -1, -1, 0, -1, 1, 1, -4, 1, 0, 0, -1, 1, -8, -1, -6, -1], 'aplist': [-1, 1, -1, 0, -4, 0, -8, -6, 6, -4, 0, 2, -2, -4, 0, -10, 4, 10, -12, 8, -8, 8, 12, -14, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 248430, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '248430.cu', 'trace_hash': 634832423051807290}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.026792731186731546129263997326', 'prec': 107}, 'conductor': 248430, 'gens': [[1, 2534, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.60884879713526382151985011491', 'prec': 103}], 'lmfdb_label': '248430.cu2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27681272303926393743901914555', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0448902429006266921320824011324938612', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-129, 64, 1]], 'xcoord_integral_points': [-129, 1, 40, 361, 508, 18591]}
• lmfdb_label 248430.cu2 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 10694761
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '248430.cu2', 'torsion': [2, 2]}
  • id: 10694762
    {'degree': 4, 'field': [-89, -62, -7, -2, 1], 'lmfdb_label': '248430.cu2', 'torsion': [4]}
  • id: 10694765
    {'degree': 8, 'field': [-45120, 9117, -8400, -1435, 721, -7, 7, -4, 1], 'lmfdb_label': '248430.cu2', 'torsion': [6]}
  • id: 10694764
    {'degree': 8, 'field': [34056, 43128, 20814, 1806, 289, -232, -9, -4, 1], 'lmfdb_label': '248430.cu2', 'torsion': [2, 4]}
  • id: 10694763
    {'degree': 8, 'field': [50911, 68600, 27972, 3920, 233, -140, 22, 0, 1], 'lmfdb_label': '248430.cu2', 'torsion': [2, 4]}
  • id: 10694766
    {'degree': 16, 'field': [123201, 0, -3250503828, 0, -1322391690, 0, 52169232, 0, -2486361, 0, -128552, 0, 7410, 0, -132, 0, 1], 'lmfdb_label': '248430.cu2', 'torsion': [8]}
  • id: 10694767
    {'degree': 16, 'field': [5475600, 15970500, 27670500, 31296915, 25334400, 14002560, 5445219, 1156155, 228882, 132147, 6775, -7632, 57, -91, 18, -6, 1], 'lmfdb_label': '248430.cu2', 'torsion': [2, 6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 6157350
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '248430.cu2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6157351
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '248430.cu2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6157352
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '248430.cu2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6157353
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '248430.cu2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6157354
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '248430.cu2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3240966
    {'adelic_gens': [[1, 0, 4, 1], [937, 4, 314, 9], [781, 4, 2, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1042, 1, 1039, 0], [602, 1, 479, 0], [1557, 4, 1556, 5], [977, 586, 584, 975]], 'adelic_image': '1560.12.0.?', 'conductor': 248430, 'lmfdb_label': '248430.cu2', 'prime': 0}
  • id: 896814
    {'conductor': 248430, 'elladic_image': '2.3.0.1', 'lmfdb_label': '248430.cu2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 248430.cu does not appear in ec_padic